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MYTS 2019 - Grade 5 - Round 2 Question 2

MYTS · MYTS 2019 - Grade 5 - Round 2

Question 2

A box contains 6 blue marbles and some red, purple and yellow marbles. It is known that:

(a) $\frac45$ of the marbles are not purple;

(b) The red and yellow marbles together form $\frac7{10}$ of all the marbles;

(c) The number of blue marbles plus twice the number of red marbles equals $\frac13$ of the total.

How many yellow marbles are in the box?

Question illustration